CSCI 3022 Lecture 10: Lecture 10
25 Feb 2019
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Suppose hypothetically that i write the homework questions as either: easy (take 10 minutes) / medium (60mins) / hard (120mins). The probability that each question is easy/medium/hard is: 0. 2, 0. 3, 0. 5 respectively. Intuition: thin of masses of weight p(a ) placed at the points a. Ex: suppose you and a friend are avoiding studying by each rolling a fir die. You decide that the first time that you roll the same number, you"ll go back to work. The expectation, expected value , or mean, of a continuous random variable x with probability density function f is. Intuition: think of a single big rock balancing on a function. Ex: suppose you have observe that, on average, 300 cars cross a particular bridge every hour. Counts/arivals/hits: x~pois( = 300 hour ) (cid:736)inter-arrival times: t~exp( = 300 hour ) and. E[t} = 1/ = 1/300 hours (= 12 seconds)
